14:332:231 Lecture Notes - Lecture 2: Radix, Octal, Negative Number

• School: Rutgers University
• Department: Electrical and Computer Engineering
• Course: 14:332:231
• Professor: Pengfei Xie

Document Summary

Positional number system : number represented by a string of digits. Each digit position has an associated weight. Here, 10 is called the base or radix. Radix point is where there are p digits to the left and n digits to the right of a point. Binary digits (bits) : used with values 0 and 1 to represent digital signals, has binary radix of r=2. Octal: radix r=8 (needs 8 digits), uses digits 0-7. Hexadecimal: radix r=16 (needs 16 digits), uses digits 0-9 and a-f. Start separating from the right and fill in zeros to the left to create the groups of 3. Replace each set of 3 with the corresponding octal digit. Start separating from the right and fill in zeros to the left to create the groups of 4. Replace each set of 4 with the corresponding hexadecimal digit. Replace each octal or hexadecimal digit with the corresponding 3 or 4 bit string that is binary.